340086661689600 has 2592 divisors, whose sum is σ = 1507333084508160. Its totient is φ = 74175067422720.

The previous prime is 340086661689589. The next prime is 340086661689659. The reversal of 340086661689600 is 6986166680043.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 121938565006 + ... + 121938567794.

Almost surely, 2^{340086661689600} is an apocalyptic number.

340086661689600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340086661689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753666542254080).

340086661689600 is an abundant number, since it is smaller than the sum of its proper divisors (1167246422818560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

340086661689600 is a wasteful number, since it uses less digits than its factorization.

340086661689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 340086661689600 in words is "three hundred forty trillion, eighty-six billion, six hundred sixty-one million, six hundred eighty-nine thousand, six hundred".